The 46-year-old Perry has been hospitalized for two weeks to deal with complications from Guillain-Barre Syndrome, a chronic inflammation disorder of the peripheral nerves. He had previously been listed in serious condition.
Perrys relatives have said he was expected to recover.
Aiken Regional Medical Center spokeswoman Melissa Summer said Monday she could offer no additional details about Perrys hospital stay.
The 300-pound-plus defensive tackle played for the Bears 1985 Super Bowl team and helped lead Clemson to the 1981 national championship.